Search a number
-
+
22210011120 = 2435118412883
BaseRepresentation
bin10100101011110100…
…011101111111110000
32010022212001110120110
4110223310131333300
5330441230323440
614111513341320
71414245660003
oct245364357760
963285043513
1022210011120
119467a770a0
12437a107840
13212c502c1b
141109a0b53a
1589ecb4080
hex52bd1dff0

22210011120 has 80 divisors (see below), whose sum is σ = 75110228352. Its totient is φ = 5384244480.

The previous prime is 22210011077. The next prime is 22210011121. The reversal of 22210011120 is 2111001222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22210011096 and 22210011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22210011121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4203802 + ... + 4209081.

Almost surely, 222210011120 is an apocalyptic number.

22210011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22210011120 is an abundant number, since it is smaller than the sum of its proper divisors (52900217232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22210011120 is a wasteful number, since it uses less digits than its factorization.

22210011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412910 (or 8412904 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22210011120 its reverse (2111001222), we get a palindrome (24321012342).

The spelling of 22210011120 in words is "twenty-two billion, two hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 8412883 16825766 25238649 33651532 42064415 50477298 67303064 84128830 92541713 100954596 126193245 134606128 168257660 185083426 201909192 252386490 277625139 336515320 370166852 403818384 462708565 504772980 555250278 673030640 740333704 925417130 1009545960 1110500556 1388125695 1480667408 1850834260 2019091920 2221001112 2776251390 3701668520 4442002224 5552502780 7403337040 11105005560 22210011120